The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).
Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).
If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.
In summary,
- length of short leg = 1 unit
- length of long leg = 5 units
- length of hypotenuse = √26 units
Let x be the length of the leg on the x axis (short leg). Let
y be the length of the other leg (long leg).
Let r be the length of the hypotenuse.
x = -1
y = 5
r = √26
Now we can calculate the trigonometric identity:
sin θ = y/r
cos θ = x/r
tan θ = y/x
cot θ = x/y
seconds θ = r/x
csc θ = r/y
Learn more about Pythagorean theorem brainly.com/question/343682
8449
Answer:
Step-by-step explanation:
1. Move the negative sing to the left.
2. simplify 4/10 to 2/5.
3. Simplify.
Therefor, the answer is, -4/5
Answer: 11x
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Explanation:
Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.
For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.
The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x
The perimeter of the rectangle is
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x
Since both perimeters are the same, this means
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x
So the length of the rectangle, in terms of x, is 11x. This is the final answer.
Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.
Answer:
24 cm
Step-by-step explanation:
Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.
Area of the shaded region (square) = 
To find: the perimeter of the star
Solution:
Area of the shaded region (square) =
Area of square = 
As each equilateral triangle has side lengths that are the same as the side length of the square,
length of side of the star = 3 cm
Perimeter is the sum of lengths of the sides.
Perimeter of star = sum of 8 sides of the star
= 8 × 3 = 24 cm
Answer:
50
Step-by-step explanation:
100 into 2 parts is 50
